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You Think That You Will Be Able to Deposits £4000 at the End of Each of the Next Three Years in a Bank Account Paying 8 Percent

Soru

You think that you will be able to deposits £4000 at the end of each of the next three years in a bank account paying 8 percent interest. You currently have £7000 in the account? How much will you have in three years? In four years?

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Uzman doğrulaması
Elit · 8 yıl öğretmeni

Cevap

To solve this problem, we need to calculate the future value of the deposits and the current balance in the account after three and four years.Given information:- Deposits: at the end of each year for the next three years- Interest rate: 8% per annum- Current balance: Step 1: Calculate the future value of the deposits after three years.The formula for the future value of an ordinary annuity is:FV = P × [(1 + r)^n - 1] / rWhere:FV = Future valueP = Periodic payment (deposit)r = Interest rate per periodn = Number of periodsFV = 4000 × [1.2597 - 1] / 0.08FV = 12,925Step 2: Calculate the future value of the current balance after three years.FV = PV × (1 + r)^nWhere:FV = Future valuePV = Present value (current balance)r = Interest rate per periodn = Number of periodsFV = 7000 × 1.2597FV = 12,925 + 21,739.90Step 4: Calculate the future value of the deposits after four years.FV = 4000 × [1.3605 - 1] / 0.08FV = 18,025Step 5: Calculate the future value of the current balance after four years.FV = 7000 × 1.3605FV = 18,025 + 27,567.50Therefore, the amount in the account after three years will be 27,567.50.